Atkin-Lehner |
3- 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
66297k |
Isogeny class |
Conductor |
66297 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
131040 |
Modular degree for the optimal curve |
Δ |
-2831318598339 = -1 · 32 · 78 · 113 · 41 |
Discriminant |
Eigenvalues |
-1 3- 3 7+ 11- -1 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1079,-82188] |
[a1,a2,a3,a4,a6] |
j |
-24100657/491139 |
j-invariant |
L |
2.0844015954138 |
L(r)(E,1)/r! |
Ω |
0.34740026761246 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66297i1 |
Quadratic twists by: -7 |